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The efficiency of the p ‐version finite element method in a distributed computing environment
Author(s) -
Rank Ernst,
Rücker Martin,
Düster Alexander,
Bröker Henrike
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.297
Subject(s) - finite element method , workstation , computer science , discretization , partial differential equation , software , computational science , mathematics , mathematical optimization , algorithm , programming language , engineering , mathematical analysis , structural engineering , operating system
Abstract The p ‐version of the finite element method is now commonly considered to be a very accurate discretization method for linear elliptic partial differential equations, but many researchers still doubt the efficiency of this method, when compared to the classical h ‐version and applied to more complex problems. This paper will first discuss some general considerations about the efficiency of a numerical method and then present results on an evaluation of the p ‐version. It will be shown, that there are many special techniques being applicable to the p ‐version, yielding a well‐performing and robust method. This will be demonstrated on several examples, including non‐linear problems and a parallel implementation on a workstation cluster. A client–server software structure for an efficient integration of CAD and FEA using a strict separation of geometric and non‐geometric aspects will also be outlined. Copyright © 2001 John Wiley & Sons, Ltd.